Question

f(x)=-2x^2+2x+7
f(1/2)=15/2 is a minimum or maximum? What does the graph look like?

Answer 1

can you not graph it?

Answer 2

What does the graph look like?
The \(x^2\) term tells us it's a parabola. Because the \(x^2\) is negative, that means the parabola opens down.

As for the roots of this function, have you tried the quadratic formula? Also -- is this from a calculus class? You can take the derivative and determine min/max instead of using the vertex formula.